Jan is making a logo for her company. She begins with a 6-cm-by-12-cm rectangle. Two points along the bottom side divide that si

Question

3 years ago

10

Jan is making a logo for her company. She begins with a 6-cm-by-12-cm rectangle. Two points along the bottom side divide that si

de into three equal pieces. A point on the top side divides that side into two equal pieces. The logo itself is the total shaded area, as shown. What is the area of the shaded logo, in square cm?

Mathematics

1 answer:

katovenus [111] · Answer 1 · 2022-12-13T20:50:12+03:00

The area of a shape is the amount of space the shape occupies

The area of the shaded region in square cm is 48 square cm

<h3>How to calculate the area</h3>

From the question, the shaded region is an isosceles trapezoid that has the following dimensions

Parallel sides: 6 cm and 2 cm
Height = 12 cm

So, the area of the logo is:

Area = 0.5 * Height * (Sum of parallel sides)

This gives

Area = 0.5 * 12 cm * (6cm + 2cm)

Evaluate

Area = 48 square cm

The logo is the shaded area

Hence, the area of the shaded region is 48 square cm